Author/Authors :
Aaly Kologani, M. Hatef Higher Education Institute, Iran , Rezaei, G. R. Department of Mathematics - University of Sistan and Baluchestan, Zahedan, Iran , Borzooei, R. A. Department of Mathematics Shahid Beheshti University, Tehran, Iran , Jun, Y. B. Department of Mathematics - Education - Gyeongsang National University, Jinju, Korea
Abstract :
Based on subalgebras and filters in hoops, the notions of S-quasi-valuation maps and F-quasi-valuation maps are introduced, and related properties are investigated. Relations between S-quasi-valuation maps and F-quasi-valuation maps are introduced. Using F-quasi-valuation map, a (pseudo) metric space is indued, and we show that the operations “⊙”, “→” and “∧” in a hoop are uniformly continuous.
